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Finding the Fourth Proportional to 2,764.70, 3,816.07 and 1,821.18

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Solution

The fourth proportional to 2,764.70, 3,816.07 and 1,821.18 is: 2,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.70 : 3,816.07 = 1,821.18 : x
  2. Step 2: Convert to fraction form
    2,764.70/3,816.07 = 1,821.18/x
  3. Step 3: Cross multiply
    2,764.70x = 3,816.07 × 1,821.18
  4. Step 4: Simplify right side
    2,764.70x = 6,949,750.36
  5. Step 5: Solve for x
    x = 6,949,750.36/2,764.70
  6. Step 6: Final answer
    x = 2,513.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.